Titlebook: Etale Cohomology and the Weil Conjecture; Eberhard Freitag,Reinhardt Kiehl Book 1988 Springer-Verlag Berlin Heidelberg 1988 Abelian variet

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巫婆

altruism

Schlussbetrachtuog und Ausblick,The aim of this book is to develop Grothendieck’s etale cohomology theory of algebraic varieties as far as necessary and then to present Deligne’s proof of the Weil conjecture using this cohomology.

Gnrh670

BROW

Martin Reckenfelderb?umer,Christian ArnoldThe goal of this chapter is to prove the rationality of the Weil ζ-function of an algebraic variety over a finite field, or more generally of the .-series for constructible sheaves (Theorem 4.4). Following Grothendieck, we will derive the rationality from a fixed point formula of Lefschetz type for the Frobenius morphism (Proposition 4.2).

Ferritin

Ferritin

字謎游戲

慟哭

The Essentials of Etale Cohomology Theory,We start this chapter with an example, due to J-P. Serre, that illuminates some of the difficulties in constructing a Weil cohomology.

Stable-Angina

,Rationality of Weil ζ-Functions,The goal of this chapter is to prove the rationality of the Weil ζ-function of an algebraic variety over a finite field, or more generally of the .-series for constructible sheaves (Theorem 4.4). Following Grothendieck, we will derive the rationality from a fixed point formula of Lefschetz type for the Frobenius morphism (Proposition 4.2).